Line r has a slope of 7/5 .Line s is perpendicular to r.What is the slope of line s? Simplify your answer and write it as a proper fraction, improper fraction, or integer. _____

Find Perpendicular Slope: Line s is perpendicular to r, so we need the opposite reciprocal of r's slope.Calculate Slope of Line r: Slope of line r: 7/5.Find Reciprocal with Opposite Sign: Reciprocal of 7/5 is 5/7, but we need the opposite sign.Determine Slope of Line s: So, the slope of line s is -5/7.

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Line $r$ has a slope of $\frac{7}{5}$ . Line $s$ is perpendicular to $r$ . What is the slope of line $s$ ? $\newline$ Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\newline$ $\_\_$

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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

r

has a slope of

\frac{7}{5}

. Line

s

is perpendicular to

r

. What is the slope of line

s

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_

Find Perpendicular Slope: Line $s$ is perpendicular to $r$ , so we need the opposite reciprocal of $r$ 's slope.
Calculate Slope of Line $r$ : Slope of line $r$ : $\frac{7}{5}$ .
Find Reciprocal with Opposite Sign: Reciprocal of $\frac{7}{5}$ is $\frac{5}{7}$ , but we need the opposite sign.
Determine Slope of Line $s$ : So, the slope of line $s$ is $-\frac{5}{7}$ .